$$\left. \begin{array} { l } { 5 ^ { 2 n } \times 2 ^ { 3 } = 5 ^ { 9 } } \\ { 8 \times 2 ^ { 5 ^ { 2 } } = 3 } \end{array} \right.$$
$\exists n_{1}\in \mathrm{Z}\text{ : }n=\frac{\pi n_{1}i}{\ln(5)}-\frac{3\log_{5}\left(2\right)}{2}+\frac{9}{2},\ \text{false}$